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Finding the Fourth Proportional to 398.90, 550.49 and 233.05

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Solution

The fourth proportional to 398.90, 550.49 and 233.05 is: 321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.90 : 550.49 = 233.05 : x
  2. Step 2: Convert to fraction form
    398.90/550.49 = 233.05/x
  3. Step 3: Cross multiply
    398.90x = 550.49 × 233.05
  4. Step 4: Simplify right side
    398.90x = 128,290.53
  5. Step 5: Solve for x
    x = 128,290.53/398.90
  6. Step 6: Final answer
    x = 321.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.